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expeople1 [14]
3 years ago
15

The exchange rate between the American dollar ($) and the British pound (£) was $1.60= £1.

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

<em>(a) Denise received $640.</em>

<em>(b) The total amount the bank charged Denise was £11</em>

Step-by-step explanation:

<u>Proportions and Percentages</u>

The exchange rate between the American Dollar ($) and the British Pound(£) is $1.60= £1.

(a) Denise changed £400 into dollars. Applying the exchange rate:

£400 = 1.60*400 = $640

Denise received $640.

(b) To change the money, we need to add both fees the bank charged Denise:

A fixed amount of £3

2% of £400 = £8

The total amount the bank charged Denise was £11

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Josie simplified an expression as shown below. In which step did Josie make mistake(s)?
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Answer:

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Step-by-step explanation:

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How it should have been done:

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<em>Use the distributive property to multiply 7x by x - 5.</em>

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4 years ago
Read 2 more answers
Find all the solutions of the given equations in the interval [0,2pi) tan^3x=tanx and cos 3x=-cos3x
slamgirl [31]
\tan^3x=\tan x
\tan^3x-\tan x=0
\tan x(\tan^2x-1)=0
\tan x(\tan x-1)(\tan x+1)=0
\begin{cases}\tan x=0\\\tan x-1=0\\\tan x+1=0\end{cases}

\tan x=\dfrac{\sin x}{\cos x}=0\implies \sin x=0\implies x=0,\pi

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- - -

\cos3x=-\cos3x
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This doesn't account for all the solutions, however; there are some values of x that push 3x outside the interval [0,2\pi), so let's take a few more:

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We can stop there, since the next candidate gives

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